Atkin-Lehner |
2+ 3- 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
22770k |
Isogeny class |
Conductor |
22770 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
90720 |
Modular degree for the optimal curve |
Δ |
-62107868691000 = -1 · 23 · 36 · 53 · 115 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 11- -4 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-22785,1382741] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:1404:1] |
Generators of the group modulo torsion |
j |
-1794543557503761/85195979000 |
j-invariant |
L |
4.1444530655691 |
L(r)(E,1)/r! |
Ω |
0.61610313910607 |
Real period |
R |
0.67268819171778 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2530l1 113850fg1 |
Quadratic twists by: -3 5 |